{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,17]],"date-time":"2026-02-17T19:26:25Z","timestamp":1771356385900,"version":"3.50.1"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2025,12,7]],"date-time":"2025-12-07T00:00:00Z","timestamp":1765065600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2025,12,7]],"date-time":"2025-12-07T00:00:00Z","timestamp":1765065600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100010653","name":"Masaryk University","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100010653","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Appl Categor Struct"],"published-print":{"date-parts":[[2026,2]]},"DOI":"10.1007\/s10485-025-09826-y","type":"journal-article","created":{"date-parts":[[2025,12,7]],"date-time":"2025-12-07T10:13:04Z","timestamp":1765102384000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Lifting Independence Along Functors"],"prefix":"10.1007","volume":"34","author":[{"given":"M.","family":"Kamsma","sequence":"first","affiliation":[]},{"given":"J.","family":"Rosick\u00fd","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,12,7]]},"reference":[{"key":"9826_CR1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511600579","volume-title":"Locally Presentable and Accessible Categories","author":"J Ad\u00e1mek","year":"1994","unstructured":"Ad\u00e1mek, J., Rosick\u00fd, J.: Locally Presentable and Accessible Categories. Cambridge Univ. Press, Cambridge (1994)"},{"key":"9826_CR2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2023.103288","volume":"174","author":"V Aslanyan","year":"2023","unstructured":"Aslanyan, V., Henderson, R., Kamsma, M., Kirby, J.: Independence relations for exponential fields. Ann. Pure Appl. Log. 174, 103288 (2023)","journal-title":"Ann. Pure Appl. Log."},{"key":"9826_CR3","first-page":"1","volume":"163","author":"T Beke","year":"2008","unstructured":"Beke, T., Rosick\u00fd, J.: Abstract elementary classes and accessible categories. Ann. Pure Appl. Log. 163, 1 (2008)","journal-title":"Ann. Pure Appl. Log."},{"key":"9826_CR4","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1142\/S0219061303000212","volume":"3","author":"I Ben-Yaacov","year":"2003","unstructured":"Ben-Yaacov, I.: Positive model theory and compact abstract theories. J. Math. Log. 3, 85\u2013118 (2003)","journal-title":"J. Math. Log."},{"key":"9826_CR5","volume-title":"Model Theory for Metric Structures in Model Theory with Applications to Algebra and Analysis","author":"I Ben-Yaacov","year":"2008","unstructured":"Ben-Yaacov, I., Berenstein, A., Henson, C.W., Usvyatsov, A.: Model Theory for Metric Structures in Model Theory with Applications to Algebra and Analysis. Cambridge University Press, Cambridge (2008)"},{"key":"9826_CR6","doi-asserted-by":"publisher","first-page":"590","DOI":"10.1016\/j.apal.2016.03.004","volume":"167","author":"W Boney","year":"2016","unstructured":"Boney, W., Grossberg, R., Kolesnikov, A., Vasey, S.: Canonical forking in AECs. Ann. Pure Appl. Log. 167, 590\u2013613 (2016)","journal-title":"Ann. Pure Appl. Log."},{"key":"9826_CR7","doi-asserted-by":"publisher","first-page":"55","DOI":"10.2140\/mt.2022.1.55","volume":"1","author":"J Dobrowolski","year":"2022","unstructured":"Dobrowolski, J., Kamsma, M.: Kim-independence in positive logic. Model Theory 1, 55\u2013113 (2022)","journal-title":"Model Theory"},{"key":"9826_CR8","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1016\/0022-4049(72)90001-1","volume":"2","author":"PJ Freyd","year":"1972","unstructured":"Freyd, P.J., Kelly, G.M.: Categories of continuous functors. I. J. Pure Appl. Algebra 2, 169\u2013191 (1972)","journal-title":"J. Pure Appl. Algebra"},{"key":"9826_CR9","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1016\/0168-0072(84)90005-8","volume":"26","author":"V Harnik","year":"1984","unstructured":"Harnik, V., Harrington, L.: Fundamentals of forking. Ann. Pure Appl. Log. 26, 245\u2013286 (1984)","journal-title":"Ann. Pure Appl. Log."},{"key":"9826_CR10","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/s11856-021-2089-1","volume":"241","author":"L Haykazyan","year":"2021","unstructured":"Haykazyan, L., Kirby, J.: Existentially closed exponential fields. Isr. J. Math. 241, 89\u2013117 (2021)","journal-title":"Isr. J. Math."},{"key":"9826_CR11","doi-asserted-by":"publisher","first-page":"759","DOI":"10.2178\/jsl\/1309952520","volume":"76","author":"T Hyttinen","year":"2011","unstructured":"Hyttinen, T., Kes\u00e4l\u00e4, M.: Categoricity transfer in simple finitary abstract elementary classes. J. Symb. Log. 76, 759\u2013806 (2011)","journal-title":"J. Symb. Log."},{"key":"9826_CR12","first-page":"153","volume":"34","author":"A Joyal","year":"1993","unstructured":"Joyal, A., Street, R.: Pullbacks equivalent to pseudopullbacks. Cahiers Topologie G\u00e9om. Diff\u00e9rentielle Cat\u00e9g. 34, 153\u2013156 (1993)","journal-title":"Cahiers Topologie G\u00e9om. Diff\u00e9rentielle Cat\u00e9g."},{"key":"9826_CR13","doi-asserted-by":"publisher","first-page":"1717","DOI":"10.1017\/jsl.2020.75","volume":"85","author":"M Kamsma","year":"2020","unstructured":"Kamsma, M.: The Kim\u2013Pillay theorem for abstract elementary categories. J. Symb. Log. 85, 1717\u20131741 (2020)","journal-title":"J. Symb. Log."},{"key":"9826_CR14","doi-asserted-by":"publisher","first-page":"724","DOI":"10.1017\/jsl.2022.82","volume":"89","author":"M Kamsma","year":"2022","unstructured":"Kamsma, M.: NSOP1-like independence in AECats. J. Symb. Log. 89, 724 (2022)","journal-title":"J. Symb. Log."},{"key":"9826_CR15","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2023.103268","volume":"174","author":"M Kamsma","year":"2023","unstructured":"Kamsma, M.: Bilinear spaces over a fixed field are simple unstable. Ann. Pure Appl. Log. 174, 103268 (2023)","journal-title":"Ann. Pure Appl. Log."},{"key":"9826_CR16","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2025.103629","volume":"176","author":"M Kamsma","year":"2025","unstructured":"Kamsma, M., Rosick\u00fd, J.: Unstable independence from the categorical point of view. Ann. Pure Appl. Log. 176, 103629 (2025)","journal-title":"Ann. Pure Appl. Log."},{"key":"9826_CR17","doi-asserted-by":"publisher","first-page":"1423","DOI":"10.4171\/jems\/948","volume":"22","author":"I Kaplan","year":"2020","unstructured":"Kaplan, I., Ramsey, N.: On Kim-independence. J. Eur. Math. Soc. 22, 1423\u20131474 (2020)","journal-title":"J. Eur. Math. Soc."},{"key":"9826_CR18","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1017\/S1446788700005693","volume":"9","author":"GM Kelly","year":"1969","unstructured":"Kelly, G.M.: Monomorphisms, epimorphisms, and pull-backs. J. Aust. Math. Soc. 9, 124\u2013142 (1969)","journal-title":"J. Aust. Math. Soc."},{"key":"9826_CR19","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/S0168-0072(97)00019-5","volume":"88","author":"B Kim","year":"1997","unstructured":"Kim, B., Pillay, A.: Simple theories. Ann. Pure Appl. Log. 88, 149\u2013164 (1997)","journal-title":"Ann. Pure Appl. Log."},{"key":"9826_CR20","doi-asserted-by":"publisher","first-page":"719","DOI":"10.1016\/j.aim.2019.02.018","volume":"346","author":"M Lieberman","year":"2019","unstructured":"Lieberman, M., Rosick\u00fd, J., Vasey, S.: Forking independence from the categorical point of view. Adv. Math. 346, 719\u2013772 (2019)","journal-title":"Adv. Math."},{"key":"9826_CR21","doi-asserted-by":"publisher","first-page":"811","DOI":"10.1017\/jsl.2022.40","volume":"88","author":"M Lieberman","year":"2023","unstructured":"Lieberman, M., Rosick\u00fd, J., Vasey, S.: Cellular categories and stable independence. J. Symb. Log. 88, 811\u2013834 (2023)","journal-title":"J. Symb. Log."},{"key":"9826_CR22","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2022.103124","volume":"173","author":"M Lieberman","year":"2022","unstructured":"Lieberman, M., Rosick\u00fd, J., Vasey, S.: Induced and higher-dimensional stable independence. Ann. Pure Appl. Log. 173, 103124 (2022)","journal-title":"Ann. Pure Appl. Log."},{"key":"9826_CR23","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1007\/BF02760649","volume":"49","author":"M Makkai","year":"1984","unstructured":"Makkai, M.: A survey of basic stability theory, with particular emphasis on orthogonality and regular types. Isr. J. Math. 49, 181\u2013238 (1984)","journal-title":"Isr. J. Math."},{"key":"9826_CR24","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/104","volume-title":"Accessible Categories: The Foundations of Categorical Model Theory","author":"M Makkai","year":"1989","unstructured":"Makkai, M., Par\u00e9, R.: Accessible Categories: The Foundations of Categorical Model Theory. AMS, New York (1989)"},{"key":"9826_CR25","unstructured":"Mazari-Armida, M., Rosick\u00fd, J.: On the abstract elementary class of acts with embeddings (in preparation)"},{"key":"9826_CR26","volume-title":"Classification Theory and the Number of Non-isomorphic Models","author":"S Shelah","year":"1978","unstructured":"Shelah, S.: Classification Theory and the Number of Non-isomorphic Models. North-Holland, New York (1978)"},{"key":"9826_CR27","volume-title":"Classification Theory for Abstract Elementary Classes","author":"S Shelah","year":"2009","unstructured":"Shelah, S.: Classification Theory for Abstract Elementary Classes. College Publications, London (2009)"},{"key":"9826_CR28","doi-asserted-by":"publisher","first-page":"1029","DOI":"10.1016\/j.apal.2016.04.005","volume":"167","author":"S Vasey","year":"2016","unstructured":"Vasey, S.: Building independence relations in abstract elementary classes. Ann. Pure Appl. Log. 167, 1029\u20131092 (2016)","journal-title":"Ann. Pure Appl. Log."}],"container-title":["Applied Categorical Structures"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-025-09826-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10485-025-09826-y","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-025-09826-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,17]],"date-time":"2026-02-17T18:56:43Z","timestamp":1771354603000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10485-025-09826-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,12,7]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2026,2]]}},"alternative-id":["9826"],"URL":"https:\/\/doi.org\/10.1007\/s10485-025-09826-y","relation":{},"ISSN":["0927-2852","1572-9095"],"issn-type":[{"value":"0927-2852","type":"print"},{"value":"1572-9095","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,12,7]]},"assertion":[{"value":"14 December 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 August 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 December 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"2"}}